Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 2, Pages 55–57 (Mi vmumm58)  
This article is cited in 2 scientific papers (total in 2 papers)

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Graded prime Goldie rings

D. S. Bazhenov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (225 kB) Citations (2)
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Abstract: Prime Goldie rings graded by group are studied. It is proved that there exists a completely gr-reducible graded ring of fractions in the case of a grading group with a finite commutator subgroup (enhancing results of Goodearl–Stafford obtained for Abelian groups), and an example for which such a ring doesn't exist is constructed (a counterexample for a semi-prime ring was already known).
Key words: graded rings, gr-prime rings, Goldie rings.
Received: 15.06.2016
English version:
Moscow University Mathematics Bulletin, 2017, Volume 72, Issue 2, Pages 70–72
DOI: https://doi.org/10.3103/S002713221702005X
Bibliographic databases:
Document Type: Article
UDC: 512.552.2
Language: Russian
Citation: D. S. Bazhenov, “Graded prime Goldie rings”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 2, 55–57; Moscow University Mathematics Bulletin, 72:2 (2017), 70–72
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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